Area under a function
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Consider a continuous, positive function f: R --> R. The graph of f(x) is the set of points in the (x,y) Cartesian plane such that y = f(x).
See Attached file for Figure and questions.
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Solution Summary
This provides several examples of working with area under given functions and the intermediate value theorem.
Solution Preview
Please see the attachment.
We kow that the area can be represented as a definite integral as follows.
.
(a) Since , , then for any , we have . Then we have
and
Thus ...
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